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Finding the Fourth Proportional to 217.37, 300.01 and 128.85

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Solution

The fourth proportional to 217.37, 300.01 and 128.85 is: 177.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.37 : 300.01 = 128.85 : x
  2. Step 2: Convert to fraction form
    217.37/300.01 = 128.85/x
  3. Step 3: Cross multiply
    217.37x = 300.01 × 128.85
  4. Step 4: Simplify right side
    217.37x = 38,656.29
  5. Step 5: Solve for x
    x = 38,656.29/217.37
  6. Step 6: Final answer
    x = 177.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.